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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

2. Similar Polygons

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Exercise 71 Page 559

Congruent sides have equal length.

x=2
RS=8, RT=8

Practice makes perfect

Consider the given diagram.

Congruent sides have equal length. With this, we can set up an equation. RS=RT ⇓ 3x+2=2x+4 Let's solve this equation.

3x+2=2x+4

▼

Solve for x

LHS-2x=RHS-2x

x+2=4

LHS-2=RHS-2

x=2

We can now substitute x= 2 in the given expressions to get the side lengths of the triangle.

Side	Expression of the Length	Substitution	Side Length
RS	3x+2	3( 2)+2	RS=8
RT	2x+4	2( 2)+4	RT=8

Subchapter links

Exercises p.554-559